Hydrothermal synthesis, crystal structures, and luminescent properties of a series of new lanthanide oxalatophosphonates with a layer architecture

Eleven new lanthanide oxalatophosphonate hybrids with a 2D layered structures, namely, [Ln(H(3)L)(C(2)O(4))]·2H(2)O (Ln = La-Dy, Er and Y, H(4)L = C(6)H(5)CH(2)N(CH(2)PO(3)H(2))(2)), have been synthesized under hydrothermal conditions and structurally characterized by X-ray single-crystal diffraction, X-ray powder diffraction, infrared spectroscopy, elemental analysis and thermogravimetric analysis. Compounds 1-11 are isomorphous and they exhibit a 2D framework structure. Two {LnO(8)} polyhedra and four {CPO(3)} tetrahedra are interconnected into a unit via corner-sharing, and the so-built units are bridged by the oxalate anions into a layer. The result of connections in this manner is the formation of a 24-atom window. The thermal stabilities and guest desorption-sorption properties of compounds 1-11 have been investigated. The luminescent properties of compounds 5, 6, 8 and 9 have also been studied.     

利用非线性脉冲预整形实现脉冲快速自相似放大

报道了一种通过预先对信号光脉冲非线性整形, 进而在光纤放大器中实现自相似演化的方法. 利用透射光栅对和普通单模光纤组成被动脉冲整形装置, 预先优化脉冲的时域宽度和光谱质量, 使脉冲在光纤放大器中快速演化到自相似子. 研究中首先通过数值模拟对比, 说明了非线性整形对脉冲实现快速自相似放大的关键作用, 提高了放大器输出脉冲质量, 减小了去啁啾脉冲宽度. 实验中, 通过优化非线性整形输出, 在2.2 m 长的掺Yb³⁺光纤中, 在一定抽运功率范围内均实现了脉冲自相似放大, 去啁啾后得到脉冲宽度60 fs 的变换极限脉冲输出. 这种非线性脉冲预整形方法有效减小了 自相似演化所需光纤长度, 同时降低了自相似放大对种子源质量的要求, 首次将全正色散光纤锁模激光器成功用于自相似放大, 促进了当前自相似放大系统的全光纤化. 关键词： 非线性整形 光纤放大器 自相似放大 飞秒激光     

The stimulated Raman scattering competition between solute and solvent in Rhodamine B solution

The competition between the stimulated resonance Raman scattering (SRRS) of Rhodamine B (RhB) and the stimulated Raman scattering (SRS) of ethanol (C₂H₅OH) is observed at the RhB in C₂H₅OH solution. For different concentrations of the solution, the peak wavelengths of the SRRS, the amplified spontaneous emission (ASE), the fluorescence and the absorption of RhB are different. The SRRS of RhB and the SRS of C₂H₅OH are simultaneously generated when the concentration of the solution is 10^-5 mol/L and the energy of the excitation laser is 20.4 mJ. Otherwise, only either the SRRS of RhB or the SRS of C₂H₅OH is generated. The SRRS can be amplified by the ASE gain when the SRRS is near the peak of the ASE, and the peak wavelength of the SRRS coincides with the wavelength of the maximal intensity ASE.     

Dynamical Consensus Algorithm for Second-Order Multi-Agent Systems Subjected to Communication Delay

To solve the dynamical consensus problem of second-order multi-agent systems with communication delay,delay-dependent compensations are added into the normal asynchronously-coupled consensus algorithm so as to make the agents achieve a dynamical consensus. Based on frequency-domain analysis, sufficient conditions are gained for second-order multi-agent systems with communication delay under leaderless and leader-following consensus algorithms respectively. Simulation illustrates the correctness of the results.     

A Lower Bound on Concurrence

We derive an analytical lower bound on the concurrence for bipartite quantum systems with an improved computable cross norm or realignment criterion and an improved positive partial transpose criterion respectively. Furthermore we demonstrate that our bound is better than that obtained from the local uncertainty relations criterion with optimal local orthogonal observables which is known as one of the best estimations of concurrence.     

海绵状纳米结构TiO2膜的制备及其光催化活性

采用电化学阳极氧化法在钛表面构筑了海绵状纳米结构TiO2膜. 应用扫描电子显微镜(SEM)和X射线衍射(XRD)对膜层的形貌和晶型进行了分析和表征, 考察了阳极氧化时间对膜层厚度的影响, 并通过海绵状纳米结构TiO2膜对甲基橙的光催化降解研究了膜层厚度与光催化活性的关系. 结果表明, 海绵状纳米结构TiO2膜对甲基橙具有光催化降解作用, 而且随着膜层厚度的增加, 光催化降解速率显著增大, 厚度为2.2 μm的海绵状纳米结构TiO2膜对甲基橙的光催化降解速率是厚度为480 nm的6.4倍.     

Investigation of inter-molecular hydrogen bonding in the binary mixture (acetone + water) by concentration dependent Raman study and ab initio calculations

This paper reports that vibrational spectroscopic analysis on hydrogen-bonding between acetone and water comprises both experimental Raman spectra and ab initio calculations on structures of various acetone/water complexes with changing water concentrations. The optimised geometries and wavenumbers of the neat acetone molecule and its complexes are calculated by using ab initio method at the MP2 level with 6-311+G(d,p) basis set. Changes in wavenumber position and linewidth (fullwidth at half maximum) have been explained for neat as well as binary mixtures with different mole fractions of the reference system, acetone, in terms of intermolecular hydrogen bonding. The combination of experimental Raman data with ab initio calculation leads to a better knowledge of the concentration dependent changes in the spectral features in terms of hydrogen bonding.     

用新公式精确研究N_2分子部分电子态的离解能

本文使用代数方法(AM),研究了N_2分子的X~1∑~+_g、A~3∑~+_u、B~(′3)∑~-_u、a′~1∑~-_u、b′~1∑~+_u、B~3∏_g、c′_4~1∑~+_u等七个电子态的离解能;然后使用新公式计算了这些电子态的离解能,并分别与离解能的实验值进行了分析对比.结果表明:使用新公式得到的分子离解能与离解能的实验值更为接近.对于那些用实验方法还难以获得其离解能的电子态,该式提供了一种获得其离解能的新途径.     

New Ans(a)tze for Obtaining Exact Solutions of Nonlinear Schr(o)dinger-Type Equation

We propose two simple ans(a)tze that allow us to obtain different analytical solutions for two generalized versions of the nonlinear Schr(o)dinger equation, such as the averaged dispersive-managed fiber system equation and the extended nonlinear Schr(o)dinger equation which describe the femtosecond pulse propagation in monomode optical fiber.Among these solutions we can find solitary wave and periodic wave solutions representing the propagation of different waveforms in nonlinear media.     

New Generalized Transformation Method and Its Application in Higher-Dimensional Soliton Equation

A new generalized transformation method is presented to find more exact solutions of nonlinear partial differential equation. As an application of the method, we choose the (3+1)-dimensional breaking soliton equation to illustrate the method. As a result many types of explicit and exact traveling wave solutions, which contain solitary wave solutions, trigonometric function solutions, Jacobian elliptic function solutions, and rational solutions, are obtained. The new method can be extended to other nonlinear partial differential equations in mathematical physics.